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Finding the Fourth Proportional to 709,173, 978,658.74 and 454,524.21

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Solution

The fourth proportional to 709,173, 978,658.74 and 454,524.21 is: 627,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,173 : 978,658.74 = 454,524.21 : x
  2. Step 2: Convert to fraction form
    709,173/978,658.74 = 454,524.21/x
  3. Step 3: Cross multiply
    709,173x = 978,658.74 × 454,524.21
  4. Step 4: Simplify right side
    709,173x = 444,824,090,658.10
  5. Step 5: Solve for x
    x = 444,824,090,658.10/709,173
  6. Step 6: Final answer
    x = 627,243.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.